Solve frac{sqrt{3}}{2}=500/t

$$\frac { \sqrt { 3 } } { 2 } = \frac { 500 } { t }$$

Solve for t

$$t = \frac{1000 \sqrt{3}}{3} \approx 577.35026919$$

Steps for Solving Linear Equation

Variable t cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2t, the least common multiple of 2,t.

$$t\sqrt{3}=2\times 500$$

Multiply 2 and 500 to get 1000.

$$t\sqrt{3}=1000$$

The equation is in standard form.

$$\sqrt{3}t=1000$$

Divide both sides by \sqrt{3}.

$$\frac{\sqrt{3}t}{\sqrt{3}}=\frac{1000}{\sqrt{3}}$$

Dividing by \sqrt{3} undoes the multiplication by \sqrt{3}.

$$t=\frac{1000}{\sqrt{3}}$$

Divide 1000 by \sqrt{3}.

$$t=\frac{1000\sqrt{3}}{3}$$